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Finding the Third Proportional to 7,140,123 and 15,697,422

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Solution

The third proportional to 7,140,123 and 15,697,422 is: 34,510,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140,123 : 15,697,422 = 15,697,422 : x
  2. Step 2: Convert to fraction form
    7,140,123/15,697,422 = 15,697,422/x
  3. Step 3: Cross multiply
    7,140,123x = 15,697,422 × 15,697,422
  4. Step 4: Simplify right side
    7,140,123x = 246,409,057,446,084
  5. Step 5: Solve for x
    x = 246,409,057,446,084/7,140,123
  6. Step 6: Final answer
    x = 34,510,477.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.